Spiral Fractals from IFS

Background - Inefficient Decomposition

A first guess at decomposing the spiral might be discouraging: the piece on the far right is followed by a smaller copy which is followed by a smaller copy, and so on.
Viewed this way, the spiral is made of dozens, maybe hundreds (in fact, infinitely many, if we think of the image as a pixilated version of a mathematical fractal) of smaller copies of itself.
Sometimes the most obvious way to decompose a fractal does not lead to an IFS with the smallest number of rules.

Several possible pieces of a decomposition

Return to background.